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antoniya [11.8K]
3 years ago
7

A box 3 centimeter high, 4 centimeters wide, and 6 centimeters long can hold 50 grams of clay. A second box has twice the height

, 3 times the width and the same length as the first box. How many grams of clay can it hold? Show your work.
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0
-------------------------------------------------------------------------------
First Box:
 -------------------------------------------------------------------------------
Volume of teh box = 3 x 4 x 6 = 72 cm³

-------------------------------------------------------------------------------
Clay per cm³
-------------------------------------------------------------------------------
72cm³ = 50g of clay.
1 cm³ = 25/36g of clay.

-------------------------------------------------------------------------------
Second box :
-------------------------------------------------------------------------------
Length = 6cm
Width = 3 x 4 = 12cm
Height = 3 x 2 = 6m

Volume = 6 x 12 x 6 = 432 cm³

-------------------------------------------------------------------------------
Find Volume of clay :
-------------------------------------------------------------------------------
1 cm³ = 25/36 g
432 cm³ = 25/36 x 432 = 300g

-------------------------------------------------------------------------------
Answer: 300g of clay
-------------------------------------------------------------------------------
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